{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "<small>\n",
    "Copyright (c) 2017 Andrew Glassner\n",
    "\n",
    "Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the \"Software\"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:\n",
    "\n",
    "The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.\n",
    "\n",
    "THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.\n",
    "</small>\n",
    "\n",
    "\n",
    "\n",
    "# Deep Learning From Basics to Practice\n",
    "## by Andrew Glassner, https://dlbasics.com, http://glassner.com\n",
    "------\n",
    "## Chapter 4: Bayes' Rule\n",
    "### Miscellaneous images\n",
    "\n",
    "This notebook is provided as a “behind-the-scenes” look at code used to make some of the figures in this chapter. It is still in the hacked-together form used to develop the figures, and is only lightly commented."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import math\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "sns.reset_orig()  # Turn seaborn off for now - default formatting looks better"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Using TensorFlow backend.\n"
     ]
    }
   ],
   "source": [
    "# Make a File_Helper for saving and loading files.\n",
    "\n",
    "save_files = True\n",
    "\n",
    "import os, sys, inspect\n",
    "current_dir = os.path.dirname(os.path.abspath(inspect.getfile(inspect.currentframe())))\n",
    "sys.path.insert(0, os.path.dirname(current_dir)) # path to parent dir\n",
    "from DLBasics_Utilities import File_Helper\n",
    "file_helper = File_Helper(save_files)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "##### SECTION 1: Bias from flips\n",
    "# Show how we find bias over multiple flips"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def get_flips(bias, num_flips):\n",
    "    flips = np.random.uniform(low=0, high=1, size=num_flips)\n",
    "    heads = [f < bias for f in flips]\n",
    "    heads = [int(h==True) for h in heads]\n",
    "    return heads"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def plot_bias(num_flips):\n",
    "    plt.figure(figsize=(12,9))\n",
    "    for coin_number, bias in enumerate([.2, .5, .8]):\n",
    "        np.random.seed(int(1000*bias))\n",
    "        heads = get_flips(bias, num_flips)\n",
    "        plt.subplot(3, 2, 1+(2*coin_number))\n",
    "        pheads = [(2*h)-1 for h in heads]\n",
    "        plt.bar(range(len(pheads)), pheads, width=0.8)\n",
    "        plt.ylim(-1.2, 1.2)\n",
    "        plt.yticks([-1, 0, 1], ['Tails', 'bias='+str(bias), 'Heads'], fontsize=14)\n",
    "        plt.xticks(fontsize=14)\n",
    "        plt.subplot(3, 2, 2+(2*coin_number))\n",
    "        bias_estimate = np.zeros(num_flips)\n",
    "        for i, b in enumerate(heads):\n",
    "            bias_estimate[i] = np.sum(heads[:i+1])/(i+1)\n",
    "        plt.plot(bias_estimate, lw=2)\n",
    "        plt.xticks(fontsize=14)\n",
    "        plt.yticks(fontsize=14)\n",
    "        plt.ylim(0,1)\n",
    "    file_helper.save_figure('bias-from-flips')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
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ugCRJUm+LiN2BK4FXgIuBhcCHgUsiYqOU0tQOlvMW4GpgFPBX4HfACGA8sB/ws/rXXpKk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\nCq69Nm/XXdf6tZYsyUGbm29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vbcV7cwZwC3A+sBx4W0Ue27T9djymaIuzKQLCFccH2Z4d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Svqju1VPf6pi9cvAjjjjMFr66+9Fl772vLzI4/ASPzz8O++uazP5rNOm8v6HDCD1tY70aUkSVIX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\nzKwSHpQwMzMzMzMzs0r8HytDT4xfHyjWAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1200eec18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_bias(100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "##### SECTION 2: Coin Flip Bars (CFB)\n",
    "# Make the bar charts for multiple flips"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def CFB_compute_posteriors(flip_is_heads, prior_F, prior_R, bias_F, bias_R):\n",
    "    if flip_is_heads:\n",
    "        likelihood_F = bias_F  # P(H|F)\n",
    "        likelihood_R = bias_R  # P(H|R)\n",
    "    else:\n",
    "        likelihood_F = 1-bias_F  # P(T|F)\n",
    "        likelihood_R = 1-bias_R  # P(T|R)\n",
    "    evidence = (prior_F * likelihood_F) + (prior_R * likelihood_R) # area(TF)+area(TR)\n",
    "    posterior_F = (prior_F * likelihood_F)/evidence\n",
    "    posterior_R = (prior_R * likelihood_R)/evidence\n",
    "    return [posterior_F, posterior_R]  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def CFB_make_flip_sequence(number_of_flips, coin_bias):\n",
    "    seq = [int(v<coin_bias) for v in np.linspace(0,1,number_of_flips)]\n",
    "    np.random.shuffle(seq)\n",
    "    return seq"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def CFB_plot_confidences(priors_list, flips_list, bias_R, unknown_coin_bias, filename):\n",
    "    plt.figure(figsize=(10,5))\n",
    "    indices = np.arange(len(priors_list))\n",
    "    bar_width = 0.75\n",
    "    \n",
    "    data_F = [priors_list[i][0] for i in range(len(priors_list))]\n",
    "    data_R = [priors_list[i][1] for i in range(len(priors_list))]    \n",
    "    p_R = plt.bar(indices, data_R, bar_width, label='Rigged', color='#b30000', edgecolor = \"none\")\n",
    "    p_F = plt.bar(indices, data_F, bar_width, label='Fair', bottom=data_R, color='#fee090', edgecolor = \"none\")\n",
    "    \n",
    "    plt.xlim(0, len(data_F))\n",
    "    plt.ylim(0, 1)\n",
    "    tick_pos = [i+(bar_width/2) for i in range(len(data_F))] \n",
    "    tick_labels = [['T','H'][i] for i in flips_list]\n",
    "    tick_labels.insert(0, '')\n",
    "    plt.xticks(tick_pos, tick_labels, fontsize=15)\n",
    "\n",
    "    plt.ylabel('Probability', fontsize=15)\n",
    "    plt.xlabel('Successive Flips', fontsize=15)\n",
    "    plt.title('Rigged Coin Bias='+str(bias_R)+', Flips are '+str(100*unknown_coin_bias)+'% Heads')\n",
    "    ax = plt.gca()\n",
    "    ax.legend(loc='center right')\n",
    "\n",
    "    filename = 'which-coin-rigged-'+str(bias_R)+'-unknown-'+str(unknown_coin_bias)\n",
    "    file_helper.save_figure(filename)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def CFB_make_plot(flips_list, prior_F, prior_R, bias_F, bias_R, unknown_coin_bias):\n",
    "    priors_list = [[prior_F, prior_R]]\n",
    "    for i in range(len(flips_list)):    \n",
    "        flip_is_heads = flips_list[i]\n",
    "        posteriors = CFB_compute_posteriors(flip_is_heads, prior_F, prior_R, bias_F, bias_R)\n",
    "        (prior_F, prior_R) = posteriors\n",
    "        priors_list.append((prior_F, prior_R))\n",
    "    CFB_plot_confidences(priors_list, flips_list, bias_R, unknown_coin_bias, \"tmp.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def CFB_run_flip_simulation(prior_F, prior_R, bias_F, bias_R, \n",
    "                            number_of_flips, unknown_coin_bias):\n",
    "    np.random.seed(42)\n",
    "    flips_list = CFB_make_flip_sequence(number_of_flips, unknown_coin_bias)\n",
    "    CFB_make_plot(flips_list, prior_F, prior_R, bias_F, bias_R, unknown_coin_bias)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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sC9wPfLDJ/R8ZEY9ExMvl6n/bdVF/tYj4QUQ8VW7zQER8oLVnKUmSJEmFlkai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\nqw1fA2odAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11d695278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "CFB_run_flip_simulation(\n",
    "    prior_F = .5, # P(F), probability we have the Fair coin\n",
    "    prior_R = .5, # P(R), probability we have the Rigged coin\n",
    "    bias_F = .5,  # fair coin has no bias\n",
    "    bias_R = .2, # rigged coin will show heads 20% of the time\n",
    "\n",
    "    number_of_flips = 30,\n",
    "    unknown_coin_bias = .2 # the actual bias in the coin we're flipping\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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AA8BHmzz+URHxaES8Wq7+t3UX9VeKiB9GxNPlPg9GxEdae5SSJEmSVGhpJCoi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\nST38P6LShDHJR1OJAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11d695a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "CFB_run_flip_simulation(\n",
    "    prior_F = .5, # P(F), probability we have the Fair coin\n",
    "    prior_R = .5, # P(R), probability we have the Rigged coin\n",
    "    bias_F = .5,  # fair coin has no bias\n",
    "    bias_R = .2, # rigged coin will show heads 20% of the time\n",
    "\n",
    "    number_of_flips = 30,\n",
    "    unknown_coin_bias = .1 # the actual bias in the coin we're flipping\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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VvTurfzumV3WcE9XTbZemPl1G+RD+sYb2VqRcX+jWxpHAiBhZjdY09m0NytS3l4B3tTjf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\nSZIkSRrC/wPmnK3eqisj1gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11d735b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "CFB_run_flip_simulation(\n",
    "    prior_F = .5, # P(F), probability we have the Fair coin\n",
    "    prior_R = .5, # P(R), probability we have the Rigged coin\n",
    "    bias_F = .5,  # fair coin has no bias\n",
    "    bias_R = .2, # rigged coin will show heads 20% of the time\n",
    "\n",
    "    number_of_flips = 30,\n",
    "    unknown_coin_bias = .8 # the actual bias in the coin we're flipping\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "##### SECTION 3: Coin Flip Grid (CFG)\n",
    "# Make a grid of bar charts for multiple flips\n",
    "# Some of the code above is duplicated with only slight variations,\n",
    "# because it was written later in a different notebook. I'm sure this\n",
    "# can be combined and cleaned up."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def CFG_plot_confidences(priors_list, flips_list, filename):\n",
    "    indices = np.arange(len(priors_list))\n",
    "    bar_width = 1\n",
    "    data_F = [priors_list[i][0] for i in range(len(priors_list))]\n",
    "    data_R = [priors_list[i][1] for i in range(len(priors_list))]    \n",
    "    p_R = plt.bar(indices, data_R, bar_width, label='Rigged', color='#b30000', edgecolor = \"none\")\n",
    "    p_F = plt.bar(indices, data_F, bar_width, label='Fair', bottom=data_R, color='#fee090', edgecolor = \"none\")\n",
    "\n",
    "    plt.xlim(0, len(data_F))\n",
    "    plt.ylim(0, 1)\n",
    "    ax = plt.gca()\n",
    "    ax.get_xaxis().set_visible(False)\n",
    "    ax.get_yaxis().set_visible(False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def CFG_make_plot(flips_list, prior_F, prior_R, bias_F, bias_R):\n",
    "    priors_list = [[prior_F, prior_R]]\n",
    "    for i in range(len(flips_list)):    \n",
    "        flip_is_heads = flips_list[i]\n",
    "        posteriors = CFB_compute_posteriors(flip_is_heads, prior_F, prior_R, bias_F, bias_R)\n",
    "        (prior_F, prior_R) = posteriors\n",
    "        priors_list.append((prior_F, prior_R))\n",
    "    CFG_plot_confidences(priors_list, flips_list, \"tmp.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def CFG_make_grid(number_of_flips):\n",
    "    rows = 10\n",
    "    cols = 10\n",
    "    \n",
    "    plt.clf()\n",
    "    fig, ax = plt.subplots(cols, rows,\n",
    "        figsize=(10,10), sharex=True, sharey=False)\n",
    "\n",
    "    y = 0\n",
    "    for unknown_coin_bias in np.linspace(.9, .1, rows): # because subplots go top-down\n",
    "        x = 0\n",
    "        for bias_R in np.linspace(.1, .9, cols):\n",
    "            #print(\"Making cell for unknown_coin_bias=\",unknown_coin_bias,\" bias_R=\",bias_R)\n",
    "            flips_list = CFB_make_flip_sequence(number_of_flips, unknown_coin_bias)\n",
    "            bias_F = .5  # fair coin has no bias\n",
    "            prior_F = .5 # P(F), probability we have the Fair coin\n",
    "            prior_R = .5 # P(R), probability we have the Rigged coin\n",
    "            plt.subplot(cols, rows, (y*cols)+x+1)\n",
    "            CFG_make_plot(flips_list, prior_F, prior_R, bias_F, bias_R)\n",
    "            x += 1\n",
    "        y += 1\n",
    "\n",
    "    # big axes around plot thanks to http://matplotlib.1069221.n5.nabble.com/file/n61/grid_histogram.py\n",
    "    axtot = fig.add_subplot(1,1,1)\n",
    "    # don't draw plot area, we only want the axes.\n",
    "    axtot.axesPatch.set_alpha(0.)\n",
    "\n",
    "    # only draw the bottom (x) and left (y) axes\n",
    "    axtot.xaxis.set_ticks_position('bottom')\n",
    "    axtot.yaxis.set_ticks_position('left')\n",
    "    axtot.spines['top'].set_visible(False)\n",
    "    axtot.spines['right'].set_visible(False)\n",
    "    axtot.tick_params(axis='both', which='major', labelsize=15)\n",
    "\n",
    "    # pull the axes outwards, away from the plot grid\n",
    "    axtot.spines['bottom'].set_position(('outward',20))\n",
    "    axtot.spines['left'].set_position(('outward',20))\n",
    "\n",
    "    # label the over-all axes\n",
    "    axtot.set_xlabel('Rigged Coin Bias', fontsize=15)\n",
    "    axtot.set_ylabel('Flip Sequence Bias', fontsize=15)\n",
    "\n",
    "    plt.tight_layout()\n",
    "    filename = 'which-coin-bars-grid-flipcount-'+str(number_of_flips)\n",
    "    file_helper.save_figure(filename)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x120256978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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MoRuAOxHOxk/vNwBshmO6AWCHOSYcANrS0w2wowQtDjK6AQDa0NMNwFx6QneP9xwA1kdP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\nA2g/FitTjNTQAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x120271c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "CFG_make_grid(number_of_flips = 30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# SLOW! This one takes a long time to run\n",
    "# CFG_make_grid(number_of_flips = 1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "##### SECTION 4: Multiple Hypotheses (MH)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "sns.set()    # Turn seaborn back on"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "MH_prior_color = '#FC4349'   # dark red\n",
    "MH_numerator_color = '#ff0000'  # bright red - unused\n",
    "MH_posterior_color = '#5968B2'  # dark blue\n",
    "Heads_color = '#DA9700'  # ochre\n",
    "Tails_color = '#04A47A'  # foam green\n",
    "multi_bar_width = 0.35"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def MH_make_legend_figure():\n",
    "    plt.figure(figsize=(10, 4.5))\n",
    "    \n",
    "    plt.subplot(1,2,1)\n",
    "    xs = [0, .25, .5, .75, 1]\n",
    "    ys = [0, .25, .5, .75, 1]\n",
    "    bar_width = 0.8\n",
    "    plt.bar(range(len(xs)), ys, bar_width, label='Rigged', color=Heads_color, edgecolor = \"none\")\n",
    "    plt.xlim(0, len(xs))\n",
    "    plt.ylim(0, 1)\n",
    "    tick_pos = [i+(bar_width/2) for i in range(len(xs))] \n",
    "    tick_labels = ['Hyp '+str(i) for i in range(5)]\n",
    "    plt.xticks(tick_pos, tick_labels, rotation=-90, fontsize=12)\n",
    "    plt.title('Heads likelihood')\n",
    "    \n",
    "    \n",
    "    plt.subplot(1,2,2)\n",
    "    xs = [0, .25, .5, .75, 1]\n",
    "    ys = [1, .75, .5, .25, 0]\n",
    "    plt.bar(range(len(xs)), ys, bar_width, label='Rigged', color=Tails_color, edgecolor = \"none\")\n",
    "    plt.xlim(0, len(xs))\n",
    "    plt.ylim(0, 1)\n",
    "    tick_pos = [i+(bar_width/2) for i in range(len(xs))] \n",
    "    tick_labels = ['Hyp '+str(i) for i in range(5)]\n",
    "    plt.xticks(tick_pos, tick_labels, rotation=-90, fontsize=12)\n",
    "    plt.title('Tails likelihood')\n",
    "\n",
    "\n",
    "    file_helper.save_figure('legend-figure')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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h6AAAAAAwDkUHAAAAgHEoOgAAAACMQ9EBAAAAYByKDgAAAADjUHQAAAAAGIei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\nAAAAMA5FBwAAAIBx/j+YST4kjy92hQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1236f8ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "MH_make_legend_figure()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# return the numerator, and posterior, of Bayes rule with our likelihoods\n",
    "def MH_process_prior(prior, heads):\n",
    "    numerator = []\n",
    "    for i in range(len(prior)):\n",
    "        x = i/(len(prior)-1)\n",
    "        if heads:\n",
    "            numerator.append(prior[i]*x)\n",
    "        else:\n",
    "            numerator.append(prior[i]*(1-x))\n",
    "    denominator = np.sum(numerator)\n",
    "    posterior = [n/denominator for n in numerator]\n",
    "    return (numerator, posterior)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def MH_draw_trio_bars(prior, numerator, posterior, showTicks):\n",
    "    # I was going to plot the numerator too (hence \"trio\") but it's not needed\n",
    "    range_prior = [r for r in range(len(posterior))]\n",
    "    range_posterior = [multi_bar_width+r for r in range(len(posterior))]\n",
    "    plt.bar(range_prior, prior, multi_bar_width, color=MH_prior_color, edgecolor=\"none\")\n",
    "    plt.bar(range_posterior, posterior, multi_bar_width, color=MH_posterior_color, edgecolor=\"none\")\n",
    "    if not showTicks:\n",
    "        plt.xticks([],[])\n",
    "        plt.yticks([],[])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def MH_draw_trio_curves(prior, numerator, posterior, showTicks):\n",
    "    # I was going to plot the numerator too (hence \"trio\") but it's not needed\n",
    "    plt.plot(prior, lw=2, color=MH_prior_color)\n",
    "    plt.plot(posterior, lw=2, color=MH_posterior_color)\n",
    "    if not showTicks:\n",
    "        plt.xticks([],[])\n",
    "        plt.yticks([],[])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def MH_draw_set(rows, columns, prior, \n",
    "                              report_after_flip, heads_tails_list, scale_y=False, showTicks=True, use_bars=True):\n",
    "    num_flips = max(report_after_flip)\n",
    "    plot_number = 1\n",
    "    for flip_number in range(1+num_flips):\n",
    "        heads = heads_tails_list[flip_number]\n",
    "        (numerator, posterior) = MH_process_prior(prior, heads)\n",
    "\n",
    "        if flip_number in report_after_flip:\n",
    "            plt.subplot(rows, columns, plot_number)\n",
    "            if use_bars:\n",
    "                MH_draw_trio_bars(prior, numerator, posterior, showTicks)\n",
    "            else:\n",
    "                MH_draw_trio_curves(prior, numerator, posterior, showTicks)\n",
    "            title = 'Flip '+str(flip_number)\n",
    "            if flip_number < 10:\n",
    "                if heads:\n",
    "                    title += ' (Heads)'\n",
    "                else:\n",
    "                    title += ' (Tails)'\n",
    "            plt.title(title, fontsize=15)\n",
    "            if scale_y:\n",
    "                y_max = max(max(prior), max(numerator), max(posterior))\n",
    "                y_max *= 1.1\n",
    "                plt.ylim(0, y_max)\n",
    "            plot_number += 1\n",
    "        \n",
    "        prior = posterior"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def MH_make_single_set():\n",
    "    plt.figure(figsize=(3,3))\n",
    "    heads_tails_list = [True]\n",
    "    report_after_flip = [0]\n",
    "    prior = [.2, .2, .2, .2, .2]\n",
    "    MH_draw_set(1, 1, prior, report_after_flip, heads_tails_list, showTicks=True, use_bars=True) \n",
    "    x_pos = [multi_bar_width+x for x in range(len(prior))]\n",
    "    plt.xticks(x_pos,['Hyp 0','Hyp 1','Hyp 2', 'Hyp 3', 'Hyp 4'], rotation=-90, fontsize=12)\n",
    "    plt.yticks([0, .2, .4, .6, .8, 1],[0, .2, .4, .6, .8, 1], fontsize=12)\n",
    "    file_helper.save_figure('MH-set-1')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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A4OrqCl9fX3h6eqqJQUROQlUB6fV6BAUFwdvbu9V4WFgYAODQoUNtzh02bBh+/PFHpKen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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x124fe0940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "MH_make_single_set()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def MH_make_multi_set():\n",
    "    bias = 0.3;\n",
    "    plt.figure(figsize=(10,6))\n",
    "    np.random.seed(43)\n",
    "    flip_results = np.random.uniform(size=5003)\n",
    "    heads_tails_list = [f < bias for f in flip_results]\n",
    "    report_after_flip = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 20, 40, 50, 100]\n",
    "    prior = [.2, .2, .2, .2, .2]\n",
    "    MH_draw_set(3, 5, prior, report_after_flip, heads_tails_list, showTicks=False, use_bars=True)            \n",
    "    file_helper.save_figure('MH-set-2')\n",
    "    plt.tight_layout()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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AAAAAAAZIpAEAAAAAMEAiDQAAAACAAb/sbgAAAABylgHDVxqVHxcR6o1mAF7l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\n1adPn+xuilesXr3aCgwMtP773/9md1N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Tp0+P2bNnx+HDh+OXv/zlgM/Rm4MHD0ZExOjR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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1251cc6a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "MH_make_multi_set()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def MH_make_multi_highres_set():\n",
    "    bias = 0.3;\n",
    "    plt.figure(figsize=(10,8))\n",
    "    np.random.seed(43)\n",
    "    flip_results = np.random.uniform(size=5003)\n",
    "    heads_tails_list = [f < bias for f in flip_results]\n",
    "    report_after_flip = [0, 1, 2, 3, 4, \n",
    "                         5, 6, 7, 8, 9, \n",
    "                         10, 20, 40, 50, 100,\n",
    "                         150, 200, 300, 1000, 5000]\n",
    "    prior = 500*[.2]\n",
    "    MH_draw_set(4, 5, prior, report_after_flip, heads_tails_list, scale_y=True, showTicks=False, use_bars=False)            \n",
    "    file_helper.save_figure('MH-set-3')\n",
    "    plt.tight_layout()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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QeukWAEAkAsaNCEO/7i3rVd6+I5lYvy2d3576WBRio/wFqWt9UEP63mW1sli/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TH2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9hwmTd2SmOT1ULt7UVXIW5kQ1Fyd/1h61WFtRv9RFiDsLMDAJDPnYfe2mpXWXXL5ae6jJj+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\nK+EAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x125d423c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "MH_make_multi_highres_set()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def MH_make_multi_highres_set_starting_gaussian():\n",
    "    bias = 0.3;\n",
    "    plt.figure(figsize=(10,8))\n",
    "    np.random.seed(43)\n",
    "    flip_results = np.random.uniform(size=5003)\n",
    "    heads_tails_list = [f < bias for f in flip_results]\n",
    "    report_after_flip = [0, 1, 2, 3, 4, \n",
    "                         5, 6, 7, 8, 9, \n",
    "                         10, 20, 40, 50, 100,\n",
    "                         1000, 2000, 3000, 4000, 5000]\n",
    "    prior = []\n",
    "    for x in range(-250, 250):\n",
    "        f = (x-150)/100\n",
    "        prior.append(math.exp(-f*f))\n",
    "    MH_draw_set(4, 5, prior, report_after_flip, heads_tails_list, scale_y=True, showTicks=False, use_bars=False)            \n",
    "    file_helper.save_figure('MH-set-4')\n",
    "    plt.tight_layout()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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njo8PHm2DvrLG7hiMwQDVG69D9cLzcJovFIRoIE1c43moX3gezMQEAEB34Vbo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sVVBgcH8eSTT+Kaa65BaWkpKioqcOedd2Lv3r1Oz9+7dy8eeeQRbN68GeXl5SgrK8MNN9yA559/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\ncGpjiRNpAMl5F2Bu+4bcz8tXfgjBwlXJKJ1It7Ql8OAv3sbra9OVaA0CV+9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q3riLAiTeSrvEmrwhVd/odIBcX2f4ejXJUVzkTa9g4AciJtyEO7eVWVFOPIibSenSOdSRq0\nUH4VEPVKThjSQ7s5SoNIHsFqSEuHFhvaSqQCef83hCPdz0RaVaE8U7CkCoMRlSrSMakizUSaFOPr\nZp8d2q1lq2+h/Cog6pU8hFUe2s2KNKnMV5GWE2lWpElhvkQaXixwaLe6Qnn2bMuJdIVUkZaq00yk\nSTWu3GwsW5HOJNK2pvu7yxApwl+R1r050hoTaVKX3JzYlJYOZSJNKvNdYBJeLLB3gLpCmUhb8hWj\nWDR32/Ql0hyeRGqxbbkinQ797GQHoWlwU1YJtoqotOTlTHQjkjsockk4Upmv2ZiUSDsc2k0Kk3tq\nGJqUSDsc2q2qUJ4pyH3EjMoiFekia8ERhZVjyxXpdOhL50ewk0ykST2OkBNpPTfdwWXfAFKYb440\nK9JEAABXOl6Y8G4LJtLKCuWZgu16Q/KMiorcbbMiKj2HiTSpxZdIZ06MItKBwLW4JBypR64waEbE\n3zeA0x1IUb5EWmrbzWZjpDLfHGmNQ7sptIm0d1uXkmdDus1O9aQauVN9tsIgV6QdDu0mBcnHC8Mw\n/NMdWGUgRcmD9qLSQtKsSJPK/Im0dD9HuSorlIm0JTIdiYWDiDRH2qiMec/hsYAU469Ip0+MdPlA\nwIo0KcjXtTtqICLHRIoxQWryV6S9RJr5AqlMHtqdbdYKAA6Xv1JWqBNpUziA7h0A5KHdlsuOrKQW\nRyq95RJpX0WaSQOpRy6wRUwjN7Qb4MUlUpc/kfaWDuUyP6QyebaPKaURgleYlBXKRNqGlEhLS5j4\nmo1xnyfFONIJkJ6Z8+ZLpC0O7Sb1yP0yDNPwjdJwmEiTouS8wIiyIk0E5A3tls6fOA1IXaFMpC2R\n/lgm/FdOTWl4UkqwIk1q8c+RTseCIY1jZfWNVCQnBpGoP5F2bZ4ckZrkirQZ9SrSbDZGKvPFhS7d\nz5EaygpnIp35WPJi6QAQiWjQRfrEyBah/OhERdnyermZoXq6lEjbKSYNpB45kdajpm+ONCvSpCpH\nBI/m4zrSpDJfTw25Is24UFYos8lsIi23ps/KJtcpJtKkGP/Q7uwcaakibTNpIPXIhQQjryItuLwD\nKUo+e9KjXiLNhIFU5qtIS+dP7B2grlBmk7aWThLkxdKzokifGFnh/OhERfmupAZUpB22sicF2VLl\nLRI1EZH7BvDiEikqe7jQhZO78Ar4LzwRqcbXtVu66uowMJQVumzScVw4WmZod1BFOnOd1dJC99GJ\nDsvxDe3OzJGWDwQcxkoK8s2Rjpl5S8KxIk1qcjJNWyNCICKtfiInEkSqkbt2y+dPgiM1lBW6bFJu\nqGRGCnfsbHJtQS94jCjM8rsTA+m+AVkOGyuRgrJzQXXhIGIYvphgszFSVS4uIBCRKtIuC2+kMN+y\ncFLbboeBoazwJdKJZO62EdCY28ysEWppOsB29aQQO2+9XAAwDLkizXgg9WTHYehCAJrmX/6KiTQp\nys1WpOEiYsjLX7HyRuryDe2WEmmuI62u8CXS8VTuthHw6XKJdMSAm0oVPoEopHxzpDPNY+Qhe0yk\nSUXZypuR6Z+hc5QGUW5oty4EdJ0VaSIAcOVu9lKSwSZ86gpdIp2SEulY0NBuuZFMT7LgcaKwsvO6\nEwOAKQWEleIcaVKPnTkM6plKgzy0W7DZGCkqe7iI5A/tZr5ACnOKVKTZbExdoUukre5E7nZULxzb\nLSfSdk/8eGwSUVmQv+cjmXVBDekEyWazMVJQrvKWSR106bhhc5QGKUqOC01aMJcjWEll/oq0d/7E\nZmPqCl8iHfeqzNGASdJRqceY1ZUoeJworOSKdHZot5mZKw0ANpe/IgVlEwYjk0gbctLAURqkKDc7\nUgMit1wiwIo0qc23jnRUXhaOgaGq0CXSKTmRNgs/XkxKrlNxJtKkDke6kqpnK9LSgcDifFBSkC0l\nDIB/uB4r0qSq3PJXEL5mY1z+ilQmj8iIRr0LTEyk1RW6RNqS5kgHJdJylTrFOdKkEFv6ns9WpI2o\nXJFm0kDqySbShhaQSLMiTYrKdu3WNQHN17U7YDkUIkXI+78ZkxPpUmwNlYPwJdJJK3fbNAvXipaT\n61QPu3aTOnIVBuF6y19JibRl84oqqcfRWJEmyudVpMGh3UQZ8hHBzIzsA1iRVlnoEulUQkqkpSQh\nKyYl16kEE2lSh51d5ke4QCQd+lHpQGDbvKRKahFCwNbSxwSvIi1V3zjdgRTlZi4wpbt2M5EmAryK\ntC4cXzd7JtLqCl8infSG4kWjARVpaSiGnHQThZ2VS6S95MCQEmmL7VhJMa60z+vZRFpeEo4VaVKQ\nEAJOtneAJhCR1pG2waHdpK7sISN/fXUO7VZX6BJpeS3caEW04HE5kU4mOP+N1GFlwj0qDU7SK5hI\nk7ocy7uYmj0l8vUN4CgNUpDrCAgtc+FVAyLSdAcW3khl8rJwusGKNIUwkU6lvCTBrCgc2h2VEocU\nG8mQQlKZVMGElxyYMe9iExNpUo0t9dQIGtrNRJpU5L/AJKBpGiIiHQsum42RwnKJtHARMbm+OoUw\nkbaktXADK9K+RJrD9kgdqVxF2osRQ4oR5gykGjclJQyZo6EuL2nCoCAF+S8wpf/VM8cNh0O7SWFe\nRVpA16VEmhVpZYUukU5KJz5mZUAiLd3HRJpUIYSApaUTBFMLTqQt5gykGEdKGPRMfmBIjZU4SoNU\n5EqNWPVIOgb0zPrRPGsileV6B+QP7eZIDWWFLpFOWXIiHSt4PCbdl2LmQIpwbDc35y2qecmBIcUD\nw4FU49re9J7sNFAjJnftZlCQeuxUYUXayKTQtgjdaSNRn/kq0tJFV15zVVfovhHlCkK0qjCRNqX7\nklw3lxSRiidzt82It9+b8tBuXlElxThSnww9kmmuZEoN+DhcjxTkBsVFZmi3Hb7TRqI+s3MVaeFv\nwsdrrsoK3TeiPFo7WlVR8Hi02ruPiTSpwu5J5G5L/TGgmzq0zJC9lMtEmtRi+xKG9L+G1EfDYZmB\nFOSrSGfiwkQ6FqzwnTYS9Zm8LJw8tJvphLpC942YlBJpo7qy4PFojXcfp0iTKqweryIdlaJe0zSY\nmXWlLTaRIcX4Km/Z5X58a6sf900iKjk5LoyIN5QVAByNxwlSl6N5FWnd4NBuCmEincjM39GEC6M6\noCJdW5W7neRQDFKELQ/t1v0nQmZm7pvFuW+kGMeSEoZMXOgxuZM9z45IPbYUF3qm6JZtUmlBD3oJ\nUegJIXKJtKEJ6FE2G6MwJtJu+iNVuSlo0cKu3TFp2F7C4Y5ParDiXhfWqJGfSGdPkEL3dUB0WI7t\nlZxzc0HlijQvtpKC5AtMubjINKm0NR3C4VANUo8rHS8iGhCRhnbzmqu6QnfmHBfpHbtS2EDAEKRI\nREOFm57/0yN4ZZXUYCW9RLqwIs1EmtQkz5HOnhP5K9LHe4uISs+R5jTkRmpkfhaaBldKtIlU4ci9\nAyAQiXoXXTlHWl2hO3OOZ9bKrdSKf9FXIf1Yj2YWfQ5RmNgJ7wBgmv6wzyXSGi8skVosaR1pM5NJ\nG5XsZE9q81WkM1345NUebGmdaSJV+FZ50ADDl0jzWKGqUCXStuXAyiTSFVrxUkJVJH21tUeLAjav\nrFL4WXIinTe0Oztkz9J0ruFASvEl0pkLTDw5ItXJFWldzw7tlh6X4oZIFf4pD0BEj0DPNmvlsUJZ\noUqkE93eEj+VevFxFlWRTAUuYsDu6Drm20VUalZKThgM32MVkWw3Vh12V89x3S6iUrKS0tBuM12R\nTp8cZdbM5ckRKcj2JdKZLsXS2aK8PBaRKnxNWzPnTdlVT2yueqKscCXSbV5SXHmYUapVhpdky68h\nCis5YTCj/uCokPLqZDvjgdRhS2sgRqNeIBg8OSKFyb0DopmFpA3pbNFNMJEm9fimyGWa8OWmxnHV\nE2WF6i+f7OjO3a44zPTnStM7OWIiTSqwpIThcIl0ojN+vDaJqOQsefkrKS6M3MkRE2lST0o6XmRH\nasitNewk50iTeuT9PtuEj81aKVR/+USnNyy1Ilq8JF0Z8x6TX0MUVpYlJ9J5Q7ulM6QU44EUYknr\nW8lzo3lyRCqTK9LZ44W82oPFZmOkIFvuqZFdX53NWpUXqrOEZJc0RzrWt0Q63pko+jyisJArb2bM\nP1yjIup9DSS6GA+kDvkCUzTmXWDyEmmeHJF6fBdeM3Ehr/ZgxZlIk3r8iXSmCR8y66uHK52ifgjV\nXz7R5TUCqKgwij6vstJLJOQGZURhlZIqb3LCAPhHbyS7kyBShSUt/mlIF5himVUfklrx4whRWKV8\niXQ6LqLSJOkUK9KkIDmRNrLLwmlSRVpwMWkVhSuR7vG+3Csqi0+SrqyO5W7Hu5g4UPglUl4iXVFT\n6XusQmookGClgRRi2fIFpsJEOhUx4LJDMSnGluIiW5GOyhVpNhsjBclTHoxsE77MjAdXi/iWxyJ1\nhCqR7ur2koDq2oqiz6seUZO73dnJRJrCT06kY7X+RDpW6VXdkkykSSEJqSIdlS6wxiLe/ewbQKqR\nR2qYmQutcpNKi+tIk4J8ibSZrUh7sSIvj0XqCFUi3dHtfbnXjKgt+rza+qG52+09TtHnEYWFnDDE\nhtb4Hquo8hKIRJwnSKSOpJxID6nK3ZZnBllMpEkxKakibVREAfiXh5OXUyRShbxcommkLyzJy8I5\nTKSVFKpEujPhffnXjBpW9Hk1Y0bkbnckOaeBwi9uex1XY0OrfY/Fqr3RG4kULyyROhJSPhCr9eJC\n7lWZ6OKScKQWy5F6B2QTaam3RirFRJrU41suMVORlhcISrHnkpLClUhLo1Jrxo4s+rzaEbXQMk0B\n2m12ZaXwi7vpRFoXDozqvDnSNVJFWhoCThR2Sde7wBQdIiXS8pJwPDkixch5crQyfXwwpeXhUrzg\nSgqy5GXhzPSFpQrDO4ZwGpCaQpVItzvpHbvGSSBSU130eboRQa1ID8FoE9Hjsm1EpdQj0heMqlwL\nmu6/eBSr8Ya0Jiwm0qSOhJs+BMZcCxEpUZAT6SRPjkgxcSlPzk4FMqu8+EgykSYFJaQhTBXV6dwh\nZnqJdLKHF11VFJpEWgiBDi29Yw9BEtC0wz5/aCQ9F7Rdr4BIscEShVsX0rFRi8J9vbLO6xnQleJU\nB1JHInMIrBD+oapVUtLQ08Gh3aSWuJM+f9KEQDSTSFfWehdc4wkO7Sb1JJPeBaTslLgYlw9VXmgS\n6WRPEqnMmp9D9N6vlg410wmDo+no3rX/mG4bUSlZiRQSkXRiUBsQG9Ujh0AX6ftbLa6bS+roQTou\nKpGXSEsdvHu6WGUgtSQyI5gqRQqRTFOlymHeKL+4xQuupB65h0ysJp1IV8iJdA+LcioKTSLdvqs5\nd3uY2fuXfH2tlzAc3Np0TLaJqBx0N7flblcbhbER0SMYLtLJQgtigOBJEoWfnbQQj2RGakT8ibS8\nfGJPN0+OSC1xZBNpLy4qh3krofQwkSYFJaT9PlaT7jUTlTpTprh8qJJCk0gf+tCrKtfV9l5VGz3a\nu7q6f3fLMdkmonLQtb81d7s2FjzlYbiePmHq1itgdXQdl+0iKqWuA1Jc5F18rRrqDWPt7uEwVlJL\nbqSG5lXgKqQlRXuc0Jw6EvWZbxnRzFSHikqvz1KcFWklhebbsHmPV3Wrqy/eaCxr9KT63O19BzkH\njsKrtclLGIbXmoHPGe6NZEXHrgPHepOISq6nuT13uybqv8AkL5/YFmdjJVJHsisOK5IuRlRHvH3f\niJqIueneMl0OVzsh9fQ40jKiw9K9A6qHe/lGVxfnSKsoNIn07v1eZ9UxJ47u9fmjGiZ4r+08JptE\nVBZamztyt4ePrAl8zrBq78SofS9HaFD4dRzwLr7WVvlHMQ2dOCp3uyUZmsMkUa/kC6nDYv6RGsOR\nThRatAoIlys8kFqyKwNVuUlEa9MJ9JC6IbnHO3t40VVFoThDEELgg+70Dm66NupnTe31NTUjazFK\npJPvrdowxJtYhaNw2iuNuKgbPyLwOSNGeENZ9+9kIk3hd3Cvl0iPrPOPYopWVaDWTfcNOOhG2TeA\nlNGxz/v+H5Z3gWmEkZ7mkIyYiEu9N4jCTrguWpHunTFMWv2kZox3TtWe5MUlFYUikW56dzsORdKJ\nwLRIO4zqql5ekXZqXfpfV4vg3aVvHavNIyqpHV3pMI8IF6OKXGQ6oXF87vYHTd3HZbuISmnfAW8U\nU/2EkQWPj9fTiXSbXoXOXfuO23YRldKBXV4iPXxYhe+xkVXe0NYDm3Yet20iKrXuA21IZaY8DNO9\nvhnVo4bDdNM/70sFT52jcOvzWjev/+ql9I3MlfmgC/Qi+1j2fzPP8T1VpP9H5F5T8EtQ8KtF4WO5\nf12B13fbgJZuhHHa5N7nR2fNPvckvPh0umP3Y9siaHngGQwdWoFIRAOQWUdRS//P4VelplKqqIpi\n7tUXleS98+Mi76Z0X15sFP4j/eCPgT7FSN4vyr5fZ7eNpkxsTEE7okOC42PcaVNR/dQOdEdieCs1\nFGN//Cyqa2KI6BHu+4PUp2/4fEne941fv5TeZ/t0rCgSC8L7qdixQhTcEfT7gx8T0PBmZwUQAQzh\nYMzswgtMk0ea2HQwffvJxX/GyZOGZI4NNFjpRgTzF11ckvfOHSuAXo8X3mPS83w7cd7z/C8KvD/o\nOBL0vD9vTwKR9HDVExrG+l4ycfwQYHP69gsrtuPUDw/xHCkEho0eivoF5x/3933rtyth227gsUL4\nzoUC8onD5RL550h5OUT+ccGLM833s/y8D5sTAIYDAMYP8WqQEUPHhEg3tmEo9uu1WPWz51FRGc3F\nhfdbaVDRgE9/q2/nUH1OpH/9fhkXrzN76QinG6dfcl6fXzbpjJPxF8s34c3EECQiUTx/KAocOkbb\nSMeQjbkleueyjos8Z08Lnh8NALpp4Jx6G384FIOj6Xh6fzXA5dUHtU+X6H1/tXmQxERmM2cY7YgO\nKYyN0z5+MpY+vgcAsMYajjVbj+fG0bEyv0TvO2iOFZF058laJ4GxHznZ99DJHzsFkU0b0qP43OF4\nlzERDu934pwFx+GNuEwAAACXSURBVP9tF28ABs/A2MrcrZMax/geOWWUgW2Z2aGP76kEhUNfz6E0\nUXBZn4iIiIiIiIiKGSyXgoiIiIiIiIjKAhNpIiIiIiIion5gIk1ERERERETUD0ykiYiIiIiIiPqB\niTQRERERERFRPzCRJiIiIiIiIuoHJtJERERERERE/cBEmoiIiIiIiKgfmEgTERERERER9cP/B2G9\nWbnlp6/vAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x132112f60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "MH_make_multi_highres_set_starting_gaussian()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def MH_make_time_lapse():\n",
    "    number_of_flips = 5001\n",
    "    plot_schedule = [0, 20, 40, 60, 200, 400, 600, 900, 1500, 3000]\n",
    "    plt.figure(figsize=(10,7))\n",
    "    bias = 0.3;\n",
    "    np.random.seed(43)\n",
    "    flip_results = np.random.uniform(size=5003)\n",
    "    heads_tails_list = [f < bias for f in flip_results]\n",
    "    prior = []\n",
    "    for x in range(-250, 250):\n",
    "        f = (x-150)/100\n",
    "        prior.append(math.exp(-f*f))\n",
    "    for i in range(1+max(plot_schedule)):\n",
    "        heads = heads_tails_list[i]\n",
    "        (numerator, posterior) = MH_process_prior(prior, heads)\n",
    "        if i in plot_schedule:\n",
    "            plt.plot(range(len(posterior)), posterior, label=i, lw=2)\n",
    "        prior = posterior\n",
    "    plt.xticks([0, 100, 200, 300, 400, 500],[0, .2, .4, .6, .8, 1])\n",
    "    plt.legend(loc='upper right')\n",
    "    file_helper.save_figure('time-lapse')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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OMc8882ddd90kjRz5A0nSvHkLdeWVY/TWW2/qkkt+2KLz/b6oHAGoU9hzjqgcAQAQ9d59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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1321d8ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "MH_make_time_lapse()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
